{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Unconditional stochastic simulation using Cholesky decomposition\n",
    "\n",
    "The aim of this document is to show and test how to generate realizations of a Gaussian process using Cholesky decomposition. \n",
    "\n",
    "The theory is available in different references :\n",
    "- Kitanidis, P., 1996, Introduction to geostatistics. p.237\n",
    "- Marcotte, D., 2006, Cours de géostatistique\n",
    "\n",
    "Author: P. Renard / December 2017"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy.spatial.distance import pdist, squareform\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##  Defines the geometry of the problem\n",
    "\n",
    "For this example, the geometry that is considered is a one dimensional regular and cartesian grid. The number of nodes $n$ is given."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "n = 139*2  # Number of nodes\n",
    "\n",
    "x = np.linspace(0, 200, n)  # Creates n regular coordinates from 0 to 200\n",
    "X = np.zeros((n,2))         # Assembles these values as a 2 D coordinate matrix to be abble to use pdist\n",
    "X[:,0] = x\n",
    "D = squareform( pdist(X) )  # Computes the distance matrix between all nodes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Defines the covariance of the Gaussian process\n",
    "\n",
    "The user can provide the range (a) and sill (sigma2) of the covariance. The formula computes the covariance matrix between all the nodes of the grid."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "sigma2 = 1; # Variance = Sill\n",
    "a = 5       # Range that is fine for a gaussian covariance\n",
    "a = 100\n",
    "\n",
    "# Gaussian covariance\n",
    "#C = sigma2 * np.exp( -3 * np.power( D/a, 2) ) \n",
    "\n",
    "# Exponential covariance\n",
    "C = sigma2 * np.exp( -3 * np.abs( D/a ) ) \n",
    "\n",
    "# Spherical covariance\n",
    "#C = np.zeros((n,n))\n",
    "#range_tmp = D<=a\n",
    "#C[range_tmp] = sigma2 * (1 - 3/2*D[range_tmp]/a + 1/2*np.power(D[range_tmp]/a,3))\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generates one simulation\n",
    "\n",
    "First, the covariance matrix is decomposed using Cholesky technique. \n",
    "\n",
    "$$ C = L  L^T$$\n",
    "\n",
    "We get the lower part $L$ of the decomposition. Note that depending on the covariance and number of grid cells, the Cholesky decomposition may not converge because of round-off errors. \n",
    "\n",
    "If everything goes well, one has only to multiply the matrix $L$ by a vector $r$ of uncorrelated random normal values to obtain the result $y$. \n",
    "$$ y = L r $$ "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "L = np.linalg.cholesky( C )\n",
    "r = np.random.randn( n, 1 )\n",
    "y = np.dot( L, r)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax.plot(x, y)\n",
    "ax.set(xlabel='Position', ylabel='Simulation',\n",
    "       title='Example of LU simulation')\n",
    "ax.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prepares a conditioning data set\n",
    "\n",
    "We just select $nc$ points randomly and get the $y$ values from the previous unconditionnal stochastic realization.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "nc = 10 # \n",
    "nsimuls = 500\n",
    "permutation = np.random.permutation( n ) \n",
    "# Picks nc values from a random permutation among n\n",
    "i = np.unique( permutation[0:nc] ) \n",
    "z1 = y[i,0] # Picks the corresponding y values\n",
    "z1.shape = (nc,1)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generates a conditional simulation\n",
    "\n",
    "The technique consists in splitting the covariance matrix and ensuring that the values at the conditioning location are respected. \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "# Defines the \"free\" positions in the covariance matrix - complement of i\n",
    "j = np.arange(n) \n",
    "j = np.delete( j, i )\n",
    "\n",
    "# In the following lines, the covariance matrix is reorganized.\n",
    "# The lines and rows corresponding to the data are moved in the upper left corner.\n",
    "# The result is a new covariance matrix K.\n",
    "\n",
    "K = np.zeros( (n, n) )\n",
    "K[0:nc, 0:nc] = C[ np.ix_(i, i) ]\n",
    "K[0:nc, nc:n] = C[ np.ix_(i, j) ]\n",
    "K[nc:n, 0:nc] = C[ np.ix_(j, i) ]\n",
    "K[nc:n, nc:n] = C[ np.ix_(j, j) ]\n",
    "\n",
    "# Here we apply the Cholesky decomposition with the usual restrictions.\n",
    "\n",
    "L = np.linalg.cholesky( K )\n",
    "\n",
    "# And extract the parts related to the data and unknown locations.\n",
    "\n",
    "L11 = L[0:nc, 0:nc]    # Data to data\n",
    "L21 = L[nc:n, 0:nc]    # Data to unknown\n",
    "L22 = L[nc:n, nc:n]    # Unknown to unknown\n",
    "\n",
    "# To ensure conditionning, one has to force the deterministic part\n",
    "\n",
    "Lc = np.dot(L21, np.linalg.inv( L11 ))\n",
    "\n",
    "# Generation of the stochastic realization (deterministic + random part)\n",
    "\n",
    "r = np.random.randn( n-nc, nsimuls )\n",
    "z2 = np.dot( Lc, z1) + np.dot( L22, r)\n",
    "\n",
    "# Assemble the results in the right order for plotting\n",
    "\n",
    "yc = np.zeros( (n,nsimuls) )\n",
    "yc[i,0:nsimuls] = z1\n",
    "yc[j,0:nsimuls] = z2\n",
    "\n",
    "# Computes the statistics among the ensemble\n",
    "\n",
    "ycstd = np.std( yc, axis = 1 )\n",
    "ymean = np.mean( yc, axis = 1 )\n",
    "ycmax = np.percentile( yc, 99.5, axis = 1)\n",
    "ycmin = np.percentile( yc, 0.5, axis = 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot the results\n",
    "\n",
    "We first plot the simulations, and then a single realization with the confidence intervals around the mean."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the conditional realizations\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(x, yc,x[i],z1,'o')\n",
    "ax.set(xlabel='Position', ylabel='Simulation',\n",
    "       title='Example of LU simulation with conditionning')\n",
    "plt.show()\n",
    "\n",
    "\n",
    "# Plot the enveloppe of the confidence interval\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(x,y[:,0],'r',label='reference')\n",
    "ax.plot(x, ymean, label='mean')\n",
    "ax.fill_between(x, ycmin, ycmax, facecolor='gray', \n",
    "                alpha=0.4, label='conf. interval')\n",
    "ax.plot(x, yc[:,1],label='1 simul.')\n",
    "ax.plot(x[i],z1,'og')\n",
    "ax.set(xlabel='Position', ylabel='Simulation',\n",
    "       title='Example of LU simulation with conditionning')\n",
    "ax.legend(loc='best')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
